Iterative approximation method for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems

Authors:
Yekini Shehu
Affiliations:
Mathematics Institute, African University Science and Technology, Abuja, Nigeria
Venue:
Journal of Global Optimization
Year:
2011

Citing 5
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System of Generalized Vector Quasi-Equilibrium Problems with Applications to Fixed Point Theorems for a Family of Nonexpansive Multivalued Mappings

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Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces

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A strong convergence theorem for relatively nonexpansive mappings in a Banach space

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Abstract

In this paper, a new iterative scheme by hybrid method is constructed. Strong convergence of the scheme to a common element of the set of common fixed points of a finite family of relatively quasi-nonexpansive mappings and set of common solutions to a system of equilibrium problems in a uniformly convex real Banach space which is also uniformly smooth is proved. Our results extend important recent results.